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What is the operation above exponents?

Asked by PhiNotPi (12681points) September 19th, 2011

If multiplication is a number added to itself multiple times, and an exponent is a number multiplied by itself multiple times, what operation is a number to the power of itself multiple times? What properties does it have? Does this operation have any practical uses?

EX-
2 * 3 = 2+2+2 = 6
2 ^ 3 = 2*2*2 = 8
2 (mystery operation) 3 = 2^2^2 = 16

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